时间尺度上二阶Lagrange系统Mei对称性及守恒量  

On Mei symmetry and conserved quantity of second-order Lagrange systems on time scales

作　　者：赵淑琼 朱建青 ZHAO Shu-qiong;ZHU Jian-qing(College of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu,China)

机构地区：[1]苏州科技大学数学科学学院,江苏苏州215009

出　　处：《云南大学学报（自然科学版）》2022年第1期73-79,共7页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11572212,11972241);江苏省自然科学基金(BK20191454)。

摘　　要：研究时间尺度上二阶Lagrange系统的Mei对称性及守恒量.以时间尺度上二阶Lagrange系统的运动方程为基础,给出系统中的Lagrange方程在无限小变换下的Mei对称性及判定方程,并建立Mei对称性导致守恒量条件,最后举例说明结果的应用.The Mei symmetry and conserved quantity of the second-order Lagrange system on time scales have been studied.Based on the motion equation of the second-order Lagrange system on time scales,the Mei symmetry of the second-order Lagrange system under infinitely small transformation has been explored.The definition of Mei symmetry and the decision equation of the second-order Lagrange system on time scales are obtained.And the conditions for the conserved quantity caused by Mei symmetry is established.An example is given to illustrate the application of the theorem.

关 键 词：时间尺度 LAGRANGE系统 MEI对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]